{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Optimization\n",
    "\n",
    "According to Wikipedia \"Bayesian optimization is a sequential design strategy for global optimization of black-box functions that doesn't require derivatives.\"\n",
    "\n",
    "We call this black-box function the **objective function**. We also use a **surrogate function** to estimate the objective function. The surrogate function consumes known points calculated by objective function and fit mean and standard deviation of the objective function.\n",
    "\n",
    "Thus, we can use the surrogate function to find the next point to explore. How do we find the next point? We use an **acquisition function**.\n",
    "\n",
    "We do all of this inside the **search space**.\n",
    "\n",
    "The whole process:\n",
    "\n",
    "0. Initiate x with the min and max of the search space.\n",
    "1. Calculate y using x and objective function.\n",
    "2. Fit the surrogate function.\n",
    "3. Find new x using acquisition function.\n",
    "4. Goto 1\n",
    "\n",
    "The surrogate function is usually the gussian process, and this is also what we use here.\n",
    "\n",
    "The acquisition function has several options: \n",
    "\n",
    "1. Probability of Improvement (PI).\n",
    "2. Expected Improvement (EI).\n",
    "3. Upper/Lower Confidence Bound (LCB/UCB).\n",
    "\n",
    "Here we use UCB.\n",
    "\n",
    "$$a_{ucb}(x;\\beta) =\\mu(x) + \\beta\\sigma(x)$$\n",
    "\n",
    "$\\beta$ is the weight we can adjust. It simply means which one is more important. It determines which we value the more, *exploitation* or *exploration*.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# example of a gaussian process surrogate function\n",
    "import math\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from warnings import catch_warnings\n",
    "from warnings import simplefilter\n",
    "from sklearn.gaussian_process import GaussianProcessRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# objective function\n",
    "def objective(x):\n",
    "    return ((x-0.47)**2 * math.sin(3 * x))\n",
    "\n",
    "#uppper confidence bound\n",
    "#beta = 1\n",
    "def acquisition(X, surrogate):\n",
    "    yhat, std = surrogate.predict(X, return_std=True)\n",
    "    yhat=yhat.flatten()\n",
    "    upper=yhat+std\n",
    "    max_at=np.argmax(upper)\n",
    "    return X[max_at]\n",
    "\n",
    "surrogate = GaussianProcessRegressor()\n",
    "\n",
    "def plot(X, y, xsamples, ysamples, yhat, std, new_x, new_y, i):\n",
    "    plt.figure(figsize=(12,6))\n",
    "    plt.plot(X, y, label='real')\n",
    "    \n",
    "    plt.scatter(xsamples, ysamples, label='explored samples')\n",
    "    plt.plot(X, yhat, label='gussian process - mean', c='g')\n",
    "    plt.plot(X, yhat+std, label='gussian process - upper/lower bound',c='g',linestyle='--',)\n",
    "    plt.plot(X, yhat-std, c='g',linestyle='--',)\n",
    "    plt.scatter([new_x], [new_y], label='next sample', c='r')\n",
    "    plt.legend()\n",
    "    plt.title(f'Iteration {i}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# grid-based sample of the domain [0,1]\n",
    "X = np.arange(0, 1, 0.01)\n",
    "X = X.reshape(-1,1)\n",
    "# sample the domain without noise\n",
    "y = np.array([objective(x) for x in X])\n",
    "y = y.reshape(-1,1)\n",
    "# sample the domain with noise\n",
    "ynoise = [objective(x) for x in X]\n",
    "# find best result\n",
    "ix = np.argmax(y)\n",
    "xsamples=np.array([[0],[1]])\n",
    "ysamples=np.array([objective(x) for x in xsamples])\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(X, y)\n",
    "plt.annotate('Optima',(X[ix], y[ix]))\n",
    "plt.scatter(xsamples, ysamples)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\gaussian_process\\_gpr.py:362: UserWarning: Predicted variances smaller than 0. Setting those variances to 0.\n",
      "  warnings.warn(\"Predicted variances smaller than 0. \"\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\gaussian_process\\_gpr.py:362: UserWarning: Predicted variances smaller than 0. Setting those variances to 0.\n",
      "  warnings.warn(\"Predicted variances smaller than 0. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\gaussian_process\\_gpr.py:362: UserWarning: Predicted variances smaller than 0. Setting those variances to 0.\n",
      "  warnings.warn(\"Predicted variances smaller than 0. \"\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\gaussian_process\\_gpr.py:362: UserWarning: Predicted variances smaller than 0. Setting those variances to 0.\n",
      "  warnings.warn(\"Predicted variances smaller than 0. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "for i in range(5):\n",
    "    #X=X.reshape(-1,1)\n",
    "    #xsamples=xsamples.reshape(-1, 1)\n",
    "    #ysamples=ysamples.reshape(-1, 1)\n",
    "    #step 1 update the surrogate function\n",
    "    surrogate.fit(xsamples, ysamples)\n",
    "    yhat, std=surrogate.predict(X, return_std=True)\n",
    "    std=std.reshape(-1,1)\n",
    "    yhat=yhat.reshape(-1,1)\n",
    "    #step\n",
    "    new_x=acquisition(X, surrogate)\n",
    "    new_y=objective(new_x)\n",
    "\n",
    "    plot(X, y, xsamples, ysamples, yhat, std, new_x, new_y, i)\n",
    "    #print(f'max y is {max(ysamples.flatten())}')\n",
    "    xsamples=np.vstack((xsamples, new_x))\n",
    "    ysamples=np.vstack((ysamples, new_y))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.0811051])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(ysamples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Optimization using Hyperopt\n",
    "\n",
    "The above code is only used to demonstate the algorithm. In daily work, we use tools like Hyperopt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████| 100/100 [00:00<00:00, 487.66trial/s, best loss: -0.08111315186238663]\n",
      "{'x': 0.8684895205673332}\n"
     ]
    }
   ],
   "source": [
    "from hyperopt import fmin, tpe, hp\n",
    "best = fmin(\n",
    "    fn=lambda x:-objective(x),\n",
    "    space=hp.uniform('x', 0, 1),\n",
    "    algo=tpe.suggest,\n",
    "    max_evals=100)\n",
    "print(best)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08111392201180685"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "objective(0.8677763535516424)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
